A generalization of strongly Gorenstein projective modules

D Bennis, N Mahdou - Journal of Algebra and its Applications, 2009 - World Scientific
This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …

The Ext-strongly Gorenstein projective modules

J Ren - Turkish Journal of Mathematics, 2015 - journals.tubitak.gov.tr
The Ext-strongly Gorenstein projective modules Page 1 Turkish Journal of Mathematics Volume
39 Number 1 Article 6 1-1-2015 The Ext-strongly Gorenstein projective modules JIE REN Follow …

On strongly Gorenstein FP-injective modules

Z Gao - Communications in Algebra, 2013 - Taylor & Francis
This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …

On the stability question of Gorenstein categories

D Bennis, JR García Rozas, L Oyonarte - Applied Categorical Structures, 2017 - Springer
In this paper we are interested in studying the stability question of subcategories of an
abelian category 𝒜 A constituted of all objects that admit (proper) coproper resolutions …

Stable local cohomology

P Thompson - Communications in Algebra, 2017 - Taylor & Francis
For a module having a complete injective resolution, we define a stable version of local
cohomology. This gives a functor to the stable category of Gorenstein injective modules. We …

Stable ideals in Gorenstein local rings

A Ooishi - Journal of Pure and Applied Algebra, 1990 - Elsevier
STABLE IDEALS IN GORENSTEIN LOCAL RINGS Page 1 Journal of Pure and Applied Algebra
69 (1990) 185-191 North-Holland 185 STABLE IDEALS IN GORENSTEIN LOCAL RINGS Akira …

STRONGLY -GORENSTEIN INJECTIVE AND FLAT MODULES

Z Gao, Y Zhong - Rocky Mountain Journal of Mathematics, 2024 - projecteuclid.org
Let ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …

Direct limits of Gorenstein injective modules

A Iacob - arXiv preprint arXiv:2308.08699, 2023 - arxiv.org
One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …

[PDF][PDF] On strongly Gorenstein hereditary rings

K Hu, H Kim, F Wang, L Xu, D Zhou - Bulletin of the Korean …, 2019 - researchgate.net
In this note, we mainly discuss strongly Gorenstein hereditary rings. We prove that for any
ring, the class of SG-projective modules and the class of G-projective modules coincide if …

Gorenstein injective modules and Auslander categories

MA Esmkhani, M Tousi - Archiv der Mathematik, 2007 - Springer
In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …